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Finding the Fourth Proportional to 281,028.13, 421,246.95 and 174,411.88

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Solution

The fourth proportional to 281,028.13, 421,246.95 and 174,411.88 is: 261,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,028.13 : 421,246.95 = 174,411.88 : x
  2. Step 2: Convert to fraction form
    281,028.13/421,246.95 = 174,411.88/x
  3. Step 3: Cross multiply
    281,028.13x = 421,246.95 × 174,411.88
  4. Step 4: Simplify right side
    281,028.13x = 73,470,472,493.77
  5. Step 5: Solve for x
    x = 73,470,472,493.77/281,028.13
  6. Step 6: Final answer
    x = 261,434.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.